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In this article we continue our investigation of the iterative regularizationmethod for optimization problems based on Bregman distances. The optimizationproblems are subject to pointwise inequality constraints in $L^2(\Omega)$. Weprovide an estimate for the noise error for perturbed data, which can be usedto construct an a priori stopping rule. Furthermore we show how to implementour method with a semi-smooth Newton method using finite elements and presentnumerical results for the stopping rule.

A priori stopping rule for an iterative Bregman method for optimal control problems